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Finding the Third Proportional to 352,270,072 and 749,889,776

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Solution

The third proportional to 352,270,072 and 749,889,776 is: 1,596,316,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,270,072 : 749,889,776 = 749,889,776 : x
  2. Step 2: Convert to fraction form
    352,270,072/749,889,776 = 749,889,776/x
  3. Step 3: Cross multiply
    352,270,072x = 749,889,776 × 749,889,776
  4. Step 4: Simplify right side
    352,270,072x = 562,334,676,149,330,176
  5. Step 5: Solve for x
    x = 562,334,676,149,330,176/352,270,072
  6. Step 6: Final answer
    x = 1,596,316,919.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.